| 常系数非齐次线性微分方程组特解公式的新推导及其应用 |
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| 引用本文： | 化存才. 常系数非齐次线性微分方程组特解公式的新推导及其应用[J]. 云南师范大学学报(自然科学版), 2004, 24(4): 1-5 |
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| 作者姓名： | 化存才 |
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| 作者单位： | 云南师范大学数学学院,云南,昆明,650092 |
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| 基金项目： | 云南师范大学数学学院课程建设项目(2004)，云南师范大学科研启动基金(2002)，云南省引进高层次人才工作经费(2003)资助。 |
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| 摘 要： | 首先利用推广的分部积分法导出一阶线性方程组的两个特解公式,然后将有关的结果应用到高阶线性方程(组),得出了特解的一些新公式。
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| 关 键 词： | 分部积分 常系数线性微分方程组 特解 |
| 文章编号： | 1007-9793(2004)04-0001-05 |
| 修稿时间： | 2004-03-22 |
A new derivation and applications for the formulae of the particular solutions of the nonhomogenous linear differential equations with constant coefficients |
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| HUA Cun-cai. A new derivation and applications for the formulae of the particular solutions of the nonhomogenous linear differential equations with constant coefficients[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2004, 24(4): 1-5 |
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| Authors: | HUA Cun-cai |
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| Abstract: | Firstly, using an extended integral method by parts, two formulae of the particular solutions of the first-order nonhomogenous linear differential equations are derived. Secondly, the related results are applied to the higher-order linear differential equations with constant coefficients. Some new formulae of the particular solutions are thus obtained. |
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| Keywords: | Integral by parts linear differential equations with constant coefficients particular solutions |
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